Q16.An electron of mass m and a photon have same energy E. The ratio of wavelength of electron to that of photon is : ( c being the velocity of light) (1) 1 2m 21 (2) 1 E 12 c ( E ) c ( 2m ) (3) E 21 (4) c(2mE) 12 ( 2 m )
What This Question Tests
This question tests the ability to derive and compare the de Broglie wavelength for an electron with the wavelength of a photon, given they have the same energy.
Concepts Tested
Formulas Used
λ_e = h/p_e
KE = p_e²/(2m)
λ_ph = hc/E
📚 NCERT Sections This Tests
12.5 — A Hydrogen Atom Initially In The Ground Level Absorbs A Photon,
Physics Class 12 · Chapter 12
12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
11.10 — What Is The De Broglie Wavelength Of
Physics Class 12 · Chapter 11
11.10 What is the de Broglie wavelength of (a) a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s, (b) a ball of mass 0.060 kg moving at a speed of 1.0 m/s, and (c) a dust particle of mass 1.0 × 10–9 kg drifting with a speed of 2.2 m/s ?
11.4 — Monochromatic Light Of Wavelength 632.8 Nm Is Produced By A
Physics Class 12 · Chapter 11
11.4 Monochromatic light of wavelength 632.8 nm is produced by a helium-neon laser. The power emitted is 9.42 mW. (a) Find the energy and momentum of each photon in the light beam, (b) How many photons per second, on the average, arrive at a target irradiated by this beam? (Assume the beam to have uniform cross-section which is less than the target area), and (c) How fast does a hydrogen atom have to travel in order to have the same momentum as that of the photon?
📋 Question Details
- Chapter
- Dual Nature of Matter
- Topic
- De Broglie wavelength and photon wavelength
- Year
- 2021
- Shift
- 17 Mar Shift 1
- Q Number
- Q16
- Type
- MCQ
- NCERT Ref
- Class 12 Physics Ch 11: Dual Nature of Radiation and Matter
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